102331312332331 has 32 divisors (see below), whose sum is σ = 105665215040000. Its totient is φ = 99046065323520.

The previous prime is 102331312332317. The next prime is 102331312332349. The reversal of 102331312332331 is 133233213133201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102331312332331 - 2⁷ = 102331312332203 is a prime.

It is a super-2 number, since 2×102331312332331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102331312332293 and 102331312332302.

It is not an unprimeable number, because it can be changed into a prime (102331312332731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1761297520 + ... + 1761355618.

It is an arithmetic number, because the mean of its divisors is an integer number (3302037970000).

Almost surely, 2^{102331312332331} is an apocalyptic number.

102331312332331 is a deficient number, since it is larger than the sum of its proper divisors (3333902707669).

102331312332331 is a wasteful number, since it uses less digits than its factorization.

102331312332331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59219.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 102331312332331 its reverse (133233213133201), we get a palindrome (235564525465532).

The spelling of 102331312332331 in words is "one hundred two trillion, three hundred thirty-one billion, three hundred twelve million, three hundred thirty-two thousand, three hundred thirty-one".